Journal
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
Volume 85, Issue 5, Pages 295-305Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.ijpvp.2008.01.002
Keywords
FGM; thermal stresses; hollow sphere; non-axisymmetric temperature
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An analytical method is developed to obtain the solution for the two-dimensional (r, theta) steady state thermal and mechanical stresses in a hollow thick sphere made of functionally graded material. The material properties are assumed to vary through the thickness according to the power law functions. The temperature profile is obtained solving the functionally graded energy equation. The Navier equations are solved analytically using the Legendre polynomials and the system of Euler differential equations. Temperature, displacement components and stresses distributions are obtained and plotted for different power law indices. The results are validated with the known data in literature. (C) 2008 Published by Elsevier Ltd.
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